Affine linear and D4 symmetric lattice equations : symmetry analysis and reductions

  title={Affine linear and D4 symmetric lattice equations : symmetry analysis and reductions},
  author={A. Tongas and Dimitrios Tsoubelis and Pavlos Xenitidis},
  journal={Journal of Physics A},
We consider lattice equations on which are autonomous, affine linear and possess the symmetries of the square. Some basic properties of equations of this type are derived, as well as a sufficient linearization condition and a conservation law. A systematic analysis of the Lie point and the generalized three- and five-point symmetries is presented. It leads to the generic form of the symmetry generators of all the equations in this class, which satisfy a certain non-degeneracy condition. Finally… Expand
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  • P. Hydon
  • Mathematics
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2000
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